科研之友
微信
新浪微博
Facebook
分享链接
摘要
In the present paper, we show that if A is an element of M-n(C) is a non scalar strictly positive matrix such that 1 is an element of sigma(A), and p > q > 1 with 1/p + 1/q = 1, then there exists X is an element of M-n(C) such that omega(AXA) > omega(1/pA(p)X + 1/qXA(q)). Moreover, several numerical radius inequalities are presented for Hilbert space operators. In particular, we prove that if p >= q > 1 with 1/p + 1/q = 1, then omega r(A*XB) <= parallel to 1/p(A*vertical bar X*vertical bar A)(rp/2) + 1/q(B*vertical bar X vertical bar B)(rq/2)parallel to, for all A, B, X is an element of B(H) and r >= 2/q.
- 出版日期2013-7
